Improving the GPA
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 131072/131072 K (Java/Others)
Total Submission(s): 652 Accepted Submission(s): 476
In fact, the AVERAGE SCORE of Xueba is calculated by the following formula:
AVERAGE SCORE = ∑(Wi * SCOREi) / ∑(Wi) 1<=i<=N
where SCOREi represents the scores of the ith course and Wi represents the credit of the corresponding course.
To simplify the problem, we assume that the credit of each course is
1. In this way, the AVERAGE SCORE is ∑(SCOREi) / N. In addition, SCOREi
are all integers between 60 and 100, and we guarantee that ∑(SCOREi) can
be divided by N.
In SYSU, the university usually uses the
AVERAGE SCORE as the standard to represent the students’ level. However,
when the students want to study further in foreign countries, other
universities will use the 4-Point Scale to represent the students’
level. There are 2 ways of transforming each score to 4-Point Scale.
Here is one of them.
The student’s average GPA in the 4-Point Scale is calculated as follows:GPA = ∑(GPAi) / N
So given one student’s AVERAGE SCORE and the number of the courses,
there are many different possible values in the 4-Point Scale. Please
calculate the minimum and maximum value of the GPA in the 4-Point Scale.
500), which denotes the number of test cases. The next T lines each
contain two integers AVGSCORE, N (60 <= AVGSCORE <= 100, 1 <= N
<= 10).
of the GPA in the 4-Point Scale in one line, accurate up to 4 decimal
places. There is a space between two values.
In the third case, there are many possible ways to calculate the minimum value of the GPA in the 4-Point Scale.
For example,
#include <cstdio> int T;
int AVGSCORE,N;
int sumscore;
int max_score,min_score;
double max_gpa,min_gpa; int main()
{
scanf("%d",&T);
while(T--){
scanf("%d%d",&AVGSCORE,&N);
sumscore = AVGSCORE*N;
max_gpa = -1.0;
min_gpa = 0x7fffffff;
for(int i = ; i <= N; ++i)
for(int j = ; j<= N-i; ++j)
for(int k = ; k <= N-i-j; ++k)
for(int l = ; l <= N-i-j-k; ++l){
int m = N-i-j-k-l;
max_score = *i+*j+*k+*l+*m;
min_score = *i+*j+*k+*l+*m;
if(sumscore <= max_score && sumscore >= min_score){
double gpa = 4.0*i+3.5*j+3.0*k+2.5*l+2.0*m;
if(gpa>max_gpa)
max_gpa = gpa;
if(gpa<min_gpa)
min_gpa = gpa;
}
}
max_gpa /= N;
min_gpa /= N;
printf("%.4f %.4f\n",min_gpa,max_gpa);
}
return ;
}